JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    The concentration of \[{{K}^{+}}\] ions in the interior (in) and exterior (ex) of a nerve cell are 400 mM and 15 m M respectively. The electrical potential that exists across the membrane is

    A)  1.425                         

    B)  - 0.0843          

    C)  0.0843                       

    D)  1.366

    Correct Answer: C

    Solution :

     \[K\xrightarrow{\,}\,K_{Ex}^{+}+{{e}^{-}}\] \[\begin{align}   & \,\,\underline{K_{In}^{+}+{{e}^{-}}\xrightarrow{\,}\,K} \\  & \,\,\underline{K_{In}^{+}\xrightarrow{\,}K_{Ex}^{+}} \\ \end{align}\] \[E={{E}^{o}}-\frac{0.0591}{1}\log \,\frac{{{[{{K}^{+}}]}_{Ex}}}{{{[{{K}^{+}}]}_{In}}}\] \[=0-0.0591\,\,\log \,\frac{15}{400}=0.0843\,V\]

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